Fermionic un-particles, gauge interactions and the $β$ function

Details Fermionic un-particles, gauge interactions and the $β$ function Fermionic un-particles, gauge interactions and the $β$ function

2008-03-28

arxiv.org/abs/0803.4110v1

Eur.Phys.J.C61:461-470,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, LateX, uses axocolor.sty, included

Scientific paper

10.1140/epjc/s10052-009-1022-2

The dynamics of fermionic unparticles is developed from first principles. It is shown that any unparticle, whether fermionic or bosonic, can be recast in terms of a canonically quantized field, but with non-local interaction terms. We further develop a possible gauge theory for fermionic unparticles. Computing the consequent contribution of un-fermions to the $\beta$ function of the theory, it is shown that this can be viewed as the sum of two contributions, one fermion-like and the other scalar-like. However, if full conformal invariance is imposed, the latter vanishes identically. We discuss the consequences thereof as well as some general phenomenological issues.

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